Before solving the problem we should understand how to approach multiplying binomials. There is a term called FOIL, which stands for F = first, O = outer, I = inner, and L = last.
(x + 4) * (x + 6)
F: multiplying the first terms we would get x * x = x^2
O: multiplying the outer terms we would get x * 6 = 6x
I: multiplying the inner terms we would get 4 * x = 4x
L: multiplying the last terms we would get 4 * 6 = 24
Now when we combine everything we would get:
x^2 + 6x + 4x + 24
Then we can simplify like terms to get:
x^2 + 10x + 24

Finance

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Question:

We are to receive $200 at the end of 4 years. How do we calculate the present value of the amount, assuming the interest rate is 10% per year compounded annually?

Gabriella F.

Answer:

First, we want to identify the present value formula we will be using to solve this problem.
PV = FV x [ 1 / (1 + i)^n]
PV = Present Value
FV = Future Value
i = Interest
n = Number of years
Second, based on the problem we will identify the values we know.
PV = ?, what we are solving for
FV = $200
i = 10%
n = 4
Third, we will plug in these values into the equation.
PV = $200 x [ 1 / (1+.10)^4]
PV = $200 x [ 1 / (1.10)^4] Add the denominator prior to raising it to its power
PV = $200 x [ 1 / (1.4641)] Then take 1.10 and raise it to the fourth power
PV = $200 x [.68301] Then divide 1 by 1.4641
PV = $136.60 Then multiply 200 by .68301
The present value is $136.60, meaning that if we receive $200 in 4 years with an interest of 10% compounded annually, it is the same as receiving $136.60 today.

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